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LCM of 440, 422, 401, 274, 496

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 440, 422, 401, 274, 496 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 440, 422, 401, 274, 496. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 440,422,401,274,496

Given numbers are 440,422,401,274,496

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 440,422,401,274,496 is 316221766960.

Find LCM of 440,422,401,274,496 with Prime Factorization


2 440, 422, 401, 274, 496
2 220, 211, 401, 137, 248
2 110, 211, 401, 137, 124
55, 211, 401, 137, 62

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 55 x 211 x 401 x 137 x 62 = 316221766960

Therefore, the lowest common multiple of 440,422,401,274,496 is 316221766960.

LCM Formula to Find Lowest Common Multiple of 440,422,401,274,496

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

440 x 422 x 401 x 274 x 496 = 10119096542720

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

422 : 1, 2, 211, 422

401 : 1, 401

274 : 1, 2, 137, 274

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,422,401,274,496, is 1.

Now, the common factors can be found like this.

440:2x 2x 2x 5x 11

422:2x 211

401:401

274:2x 137

496:2x 2x 2x 2x 31

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 2 = 32

Therefore, the value for common factors is 32.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 10119096542720/(1x32)

LCM = 10119096542720/32

LCM = 316221766960

Thus, we can understand that the LCM of 440,422,401,274,496 is 316221766960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 440, 422, 401, 274, 496

1. What is the LCM of 440, 422, 401, 274, 496?

Answer: LCM of 440, 422, 401, 274, 496 is 316221766960.

2. How to calculate the LCM of 440, 422, 401, 274, 496?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 440, 422, 401, 274, 496.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.